Question

Please someone help me out

Answer 1

Answer: maximum height of the football = 176 feet

Step-by-step explanation:

We want to determine the maximum height of the football from the ground. From the function given,

h(t) = -16t^2+96t +32, it is a quadratic function. Plotting graph if h will result to a parabolic shape. The maximum height of the football = the vertex of the parabola. This vertex is located at time, t

t = -b/2a

b = 96 and a= -16

t = -b/2a = -96/2×-16= 3

Substituting t = 3 into the function if h

h(t) = -16×3^2+96×3 +32

=-16×9 + 96×3 +32

= -144+ 288+32

=176 feet